normable topological vector space
preferred label: فضای برداری توپولوژیک نرم‌پذیر @fa
type: Concept
broader: topological vector space

local splitting property
preferred label: خاصیت شکافنده موضعی @fa
type: Concept
broader: topological vector space

Banach-Steinhaus theorem
preferred label: قضیه باناخ-اشتاین‌هاوس @fa
type: Concept
broader: topological vector space

metrizable
preferred label: متر‌پذیر @fa
type: Concept
broader: topological vector space

orbit (function)
preferred label: مدار(تابع) @fa
type: Concept
broader: topological vector space

bounded linear transformation
preferred label: تبدیل خطی کراندار @fa
type: Concept
broader: topological vector space

smooth Banach space
preferred label: فضای باناخ هموار @fa
type: Concept
broader: topological vector space

Goldstine theorem
preferred label: قضیه گلدشتاین @fa
type: Concept
broader: topological vector space

polar set
preferred label: مجموعه قطبی @fa
type: Concept
broader: topological vector space

barrelled space
preferred label: فضای چلیکی @fa
type: Concept
broader: topological vector space

recurrent point
preferred label: نقطه بازگشتی @fa
type: Concept
broader: topological vector space

Kerein-Smulyan theorem
preferred label: قضیه گرین-سمولیان @fa
type: Concept
broader: topological vector space

finite-dimensional Banach spaces
preferred label: فضای باناخ متناهی‌بعد @fa
type: Concept
related: topological vector space

weak closure
preferred label: بستار ضعیف @fa
type: Concept
broader: topological vector space

exact splitting property
preferred label: خاصیت شکافنده کامل @fa
type: Concept
broader: topological vector space

Eberlein-Smulyan
preferred label: قضیه ابرلین-سمولیان @fa
type: Concept
broader: topological vector space

norm
preferred label: نرم @fa
type: Concept
broader: topological vector space

topological vector space
narrower: norm
narrower: weak topology
narrower: uniform boundedness principle
narrower: bornological space
narrower: bounded linear transformation
narrower: recurrent point
narrower: balanced set
narrower: weak closure
narrower: unit disc
narrower: convex linear hull
narrower: Frechet space
narrower: semi linear map
narrower: Goldstine theorem
narrower: normed space
narrower: convex hull
narrower: weak neighborhood
narrower: polar of a set
narrower: quasi-Banach space
narrower: locally convex topological vector space
narrower: locally compact topological vector space
narrower: metrizable
narrower: extension theorem
narrower: Minkowski functional
narrower: totally-bounded set
narrower: normable topological vector space
narrower: bounded linear functional
narrower: local splitting property
narrower: bounded set
narrower: barrelled set
narrower: barrelled space
narrower: weakly convergent sequence
narrower: F-space
narrower: some splitting property
narrower: quasi-norm
narrower: locally bounded topological vector space
narrower: orbit (function)
narrower: closed graph theorem
narrower: separation theorem
narrower: smooth Banach space
narrower: seminorm
narrower: hahn-Banach theorem
narrower: Banach-Alaoglu theorem
narrower: metrizable topological vector space
narrower: polar set
narrower: linear functional
narrower: weakly bounded set
narrower: weak*-closed set
narrower: functional
narrower: Hahn-Banach extension theorem
narrower: Uniformly smooth space
narrower: Hamel base
narrower: norm topology
narrower: exact splitting property
narrower: bilinear mapping
narrower: Kerein-Smulyan theorem
narrower: absorbing set
narrower: paranorm
narrower: paranorm space
narrower: weak*-topology
narrower: separately continuous mapping
narrower: norm-closed set
narrower: locally convex space
narrower: metrization theorem
narrower: Banach-Steinhaus theorem
narrower: strictly convex space
narrower: open mapping theorem
narrower: Eberlein-Smulyan
narrower: seminormed space
narrower: reflexive space
narrower: extreme set
narrower: weak*-compact set
narrower: quasi-normed vector space
narrower: convex local base
narrower: Conway theorem
narrower: convex set
preferred label: فضای برداری توپولوژیک @fa
related: Krein-Milman theorem
related: finite-dimensional Banach spaces
related: convex geometry

weak topology
preferred label: توپولوژی ضعیف @fa
type: Concept
broader: topological vector space

uniform boundedness principle
preferred label: اصل کرانداری یکنواخت @fa
type: Concept
broader: topological vector space

bornological space
preferred label: فضای برنو لجیکال @fa
type: Concept
broader: topological vector space

balanced set
preferred label: مجموعه متعادل @fa
type: Concept
broader: topological vector space

unit disc
preferred label: قرص واحد @fa
type: Concept
broader: topological vector space

convex linear hull
preferred label: غلاف خطی محدب @fa
type: Concept
broader: topological vector space

Frechet space
preferred label: فضای فرشه @fa
type: Concept
broader: topological vector space

semi linear map
preferred label: نگاشت نیم‌خطی @fa
type: Concept
broader: topological vector space

normed space
preferred label: فضای نرم‌دار @fa
type: Concept
broader: topological vector space

convex hull
preferred label: غلاف محدب @fa
type: Concept
broader: topological vector space

weak neighborhood
preferred label: همسایگی ضعیف @fa
type: Concept
broader: topological vector space

polar of a set
preferred label: قطبی یک مجموعه @fa
type: Concept
broader: topological vector space

quasi-Banach space
preferred label: فضای شبه‌باناخ @fa
type: Concept
broader: topological vector space

locally convex topological vector space
preferred label: فضای برداری توپولوژیک موضعا محدب @fa
type: Concept
broader: topological vector space

locally compact topological vector space
preferred label: فضای برداری توپولوژیک موضعا فشرده @fa
type: Concept
broader: topological vector space

extension theorem
preferred label: قضیه توسیع @fa
type: Concept
broader: topological vector space

Minkowski functional
preferred label: تابعک مینکوفسکی @fa
type: Concept
broader: topological vector space

totally-bounded set
preferred label: مجموعه کلاکراندار @fa
type: Concept
broader: topological vector space

bounded linear functional
preferred label: تابعک خطی کراندار @fa
type: Concept
broader: topological vector space

bounded set
preferred label: مجموعه کراندار @fa
type: Concept
broader: topological vector space

barrelled set
preferred label: مجموعه چلیکی @fa
type: Concept
broader: topological vector space

weakly convergent sequence
preferred label: دنباله ضعیف‌همگرا @fa
type: Concept
broader: topological vector space

F-space
preferred label: F-فضا @fa
type: Concept
broader: topological vector space

some splitting property
preferred label: خاصیت شکافنده جزیی @fa
type: Concept
broader: topological vector space

quasi-norm
preferred label: شبه‌نرم @fa
type: Concept
broader: topological vector space

locally bounded topological vector space
preferred label: فضای برداری توپولوژیک موضعا کراندار @fa
type: Concept
broader: topological vector space

closed graph theorem
preferred label: قضیه نمودار بسته @fa
type: Concept
broader: topological vector space

separation theorem
preferred label: قضیه تفکیک @fa
type: Concept
broader: topological vector space

seminorm
preferred label: نیم‌نرم @fa
type: Concept
broader: topological vector space

hahn-Banach theorem
preferred label: قضیه هان-باناخ @fa
type: Concept
broader: topological vector space

Banach-Alaoglu theorem
preferred label: قضیه باناخ-آلااغلو @fa
type: Concept
broader: topological vector space

metrizable topological vector space
preferred label: فضای برداری توپولوژیک متریک‌پذیر @fa
type: Concept
broader: topological vector space

linear functional
preferred label: تابعک خطی @fa
type: Concept
broader: topological vector space

weakly bounded set
preferred label: مجموعه ضعیف‌کراندار @fa
type: Concept
broader: topological vector space

weak*-closed set
preferred label: مجموعه ضعیف‌ستاره بسته @fa
type: Concept
broader: topological vector space

functional
preferred label: تابعک @fa
type: Concept
broader: topological vector space

Hahn-Banach extension theorem
preferred label: قضیه گسترش هان-باناخ @fa
type: Concept
broader: topological vector space

Uniformly smooth space
preferred label: فضای به‌طور یکنواخت هموار @fa
type: Concept
broader: topological vector space

Hamel base
preferred label: پایه همل @fa
type: Concept
broader: topological vector space

norm topology
preferred label: توپولوژی نرمی @fa
type: Concept
broader: topological vector space

bilinear mapping
preferred label: نگاشت دوخطی @fa
type: Concept
broader: topological vector space

absorbing set
preferred label: مجموعه جاذب @fa
type: Concept
broader: topological vector space

paranorm
preferred label: پارانرم @fa
type: Concept
broader: topological vector space

paranorm space
preferred label: فضای پارا‌نرم‌دار @fa
type: Concept
broader: topological vector space

weak*-topology
preferred label: توپولوژی ضعیف‌ستاره @fa
type: Concept
broader: topological vector space

separately continuous mapping
preferred label: نگاشت منفک‌پیوسته @fa
type: Concept
broader: topological vector space

norm-closed set
preferred label: مجموعه نرم-بسته @fa
type: Concept
broader: topological vector space

locally convex space
preferred label: فضای موضعا محدب @fa
type: Concept
broader: topological vector space

metrization theorem
preferred label: قضیه متری‌سازی @fa
type: Concept
broader: topological vector space

strictly convex space
preferred label: فضای اکیدا محدب @fa
type: Concept
broader: topological vector space

open mapping theorem
preferred label: قضیه نگاشت باز @fa
type: Concept
broader: topological vector space

seminormed space
preferred label: فضای شبه‌نرم‌دار @fa
type: Concept
broader: topological vector space

reflexive space
preferred label: فضای بازتابی @fa
type: Concept
broader: topological vector space

extreme set
preferred label: مجموعه اکسترمم @fa
type: Concept
broader: topological vector space

weak*-compact set
preferred label: مجموعه ضعیف‌ستاره فشرده @fa
type: Concept
broader: topological vector space

quasi-normed vector space
preferred label: فضای برداری شبه‌نرم‌دار @fa
type: Concept
broader: topological vector space

convex local base
preferred label: پایه موضعی محدب @fa
type: Concept
broader: topological vector space

Conway theorem
preferred label: قضیه کانوی @fa
type: Concept
broader: topological vector space

convex set
preferred label: مجموعه محدب @fa
type: Concept
broader: topological vector space

Krein-Milman theorem
preferred label: قضیه کرین-میلمن @fa
type: Concept
related: topological vector space

convex geometry
preferred label: هندسه محدب @fa
type: Concept
related: topological vector space

test function
preferred label: تابع آزمون @fa
type: Concept
related: topological vector space

linear functions space
preferred label: فضای توابع خطی @fa
type: Concept
related: topological vector space

I-adic topology
preferred label: توپولوژی آی-ای @fa
type: Concept
related: topological vector space

Schauder basis
preferred label: پایه شاودر @fa
type: Concept
related: topological vector space

topological space
preferred label: فضای توپولوژیک @fa
type: Concept
related: topological vector space

vector space
preferred label: فضای برداری @fa
type: Concept
related: topological vector space

vector topology
preferred label: توپولوژی برداری @fa
type: Concept
related: topological vector space

unconditional convergence
preferred label: همگرایی نامشروط @fa
type: Concept
related: topological vector space

Banach space
preferred label: فضای باناخ @fa
type: Concept
related: topological vector space

fuctional analysis
preferred label: آنالیز تابعی @fa
type: Concept
narrower: topological vector space